Abstract
Based on the Cox-Merz rule and Eyring's expression for the nonlinear shear viscosity, a Wagner-type constitutive relation with no nontrivial adjustable parameters is proposed for simple shear viscoelasticity. The predictions for a number of non-steady shear flows are worked out analytically. It is shown that most features of shear viscoelasticity are reproduced by the model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bird RB, Armstrong RC, Hassager O (1987) Dynamics of Polymeric Liquids, Second Edition. Wiley, New York
Kincaid JF, Eyring H, Stearn AE (1941) Chem Rev 28:301–365
Cox WP, Merz EH (1958) J Polym Sci 28:619–622
Wagner MH (1979) Rheol Acta 18:33–50
Abramowitz M, Stegun IA (eds) (1972) Handbook of Mathematical Functions. Dover Publications, New York
Yasuda K, Armstrong RC, Cohen RE (1981) Rheol Acta 20:163–178
Kulicke WM, Porter RS (1980) Rheol Acta 19:601–605
Wang JS, Knox JR, Porter RS (1978) J Polym Sci, Polym Phys Ed 16:1709–1719
Martinez CB, Williams MC (1980) J Rheol 24:421–450
Wagner MH (1977) Rheol Acta 16:43–50
Marsh BD (1967) (as cited by PJ Carreau, IF Macdonald, RB Bird (1968) Chem Eng Sci 23:901)
Dyre JC (1988) J Appl Phys 64:2456–2468
Booij HC, Leblans P, Palmen J, Tiemersma-Thoone G (1983) J Polym Sci, Polym Phys Ed 21:1703–1711
Tanner RI, Simmons JM (1967) Chem Eng Sci 22:1803–1815
Chen I-J, Bogue DC (1972) Trans Soc Rheol 16:59–78
Bersted BH (1976) J Appl Polym Sci 20:2705–2714
Thurston GB (1981) J Non-Newtonian Fluid Mech 9:57–68
Tanner RI (1969) AIChE J 15:177
Wagner MH, Stephenson SE (1979) J Rheol 23:489–504
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dyre, J.C. A “zero-parameter” constitutive relation for simple shear viscoelasticity. Rheol Acta 29, 145–151 (1990). https://doi.org/10.1007/BF01332381
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01332381